Average Error: 0.0 → 0
Time: 1.9s
Precision: 64
Internal precision: 128
\[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]
⬇
\[0\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

  1. Initial program 0.0

    \[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]

  2. Applied simplify 0

    \[\leadsto \color{blue}{0}\]
  3. Removed slow pow expressions

Runtime

Time bar (total: 1.9s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(1602315987 2266628097 3845625466 2442752735 1684322911 3413986496)'
(FPCore (x y z)
  :name "Commute and associate"
  (- (+ (+ x y) z) (+ x (+ y z))))